Problems presented in mathematics classrooms often focus on routine tasks with students practicing mathematical techniques demonstrated by the teacher. However, this does not reflect the problem-solving process in the real world, and students often find it difficult to connect school mathematics with authentic contexts. This paper discusses…

Learning engagement and career-relevant skills are both important elements in learning. Unfortunately, there is a lack of research related to learning engagement in massive open online courses (MOOCs) from MOOC instructors' point of view. Research is also needed on MOOC instructors' strategies to provide career-relevant content to the learners. In…

Increasing learners' sense of presence is important in professional training, in particular, when aiming to foster their competences of making judgements and solving problems when facing real cases. However, in conventional training programmes, sometimes it is difficult to situate learners in real cases owing to several considerations, such as…

The damped harmonic oscillator physics problem is a standard oscillation problem in calculus physics for pre-engineering students in a community college. The use of alternative linear algebra eigenvalue stability method is consistent with the upper engineering courses using control theory. The external force and friction damping would become the…